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Discrete Mathematics - Sets, Relations & Functions

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Description: SetsSets and their representationsEmpty setFinite and Infinite setsEqual sets. SubsetsSubsets of a set of real numbers especially intervals (with notations)Power setUniversal setVenn diagramsUnion and Intersection of setsDifference of setsComplement of a setProperties of Complement SetsPractical Problems based on setsRelations & FunctionsOrdered pairsCartesian product of setsNumber of elements in the cartesian product of two finite setsCartesian product of the sets of real (up to R × R)Definition of −RelationPictorial diagramsDomainCo-domainRange of a relationFunction as a special kind of relation from one set to anotherPictorial representation of a function, domain, co-domain and range of a functionReal valued functions, domain and range of these functions −ConstantIdentityPolynomialRationalModulusSignumExponentialLogarithmicGreatest integer functions (with their graphs)Sum, difference, product and quotients of functionsSUMMARYSets - This chapter deals with some basic definitions and operations involving sets. These are summarised below: 1. A set is a well-defined collection of objects. A set which does not contain any element is called empty set. 2. A set which consists of a definite number of elements is called finite set, otherwise, the set is called infinite set. 3. Two sets A and B are said to be equ
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